{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import gzip\n",
    "import json\n",
    "import numpy as np\n",
    "from sklearn.mixture import GaussianMixture\n",
    "import scipy.io\n",
    "import numpy.ma as ma\n",
    "import h5py\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "f = h5py.File('aic_GMM.h5','r')\n",
    "aic_all = np.array(f['aic_all'])\n",
    "f.close()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(100, 20, 2)"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "aic_all.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "std = np.std(aic_all,axis=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "mean = np.mean(aic_all,axis=0)\n",
    "cil = mean[:,1]-std[:,1]\n",
    "ciu = mean[:,1]+std[:,1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "scaling = 10**7\n",
    "plt.plot(mean[:,0],mean[:,1]/scaling,marker='o',alpha=.7)\n",
    "plt.fill_between(mean[:,0],cil/scaling,ciu/scaling,alpha=.1)\n",
    "plt.xlabel('num_gaussians',fontsize=20)\n",
    "plt.ylabel('AIC (x $10^5$)',fontsize=20)\n",
    "plt.xticks(fontsize=15)\n",
    "plt.yticks(fontsize=15)\n",
    "plt.scatter(mean[np.argmin(mean[:,1]),0],mean[np.argmin(mean[:,1]),1]/scaling,c='r',marker='x',s=100)\n",
    "# plt.xlim(49,240)\n",
    "plt.tight_layout()\n",
    "# plt.ylim(-105,-115)\n",
    "# plt.savefig('num_gaussians.pdf')\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "num_gaussians = int(mean[np.argmin(mean[:,1]),0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "#Load angle library from Greg\n",
    "f = scipy.io.loadmat('/home/antonio/Repositories/ForagingData/shapes.mat')\n",
    "thetas_w = ma.array(f['theta_ensemble'])\n",
    "thetas_w[thetas_w==0]=ma.masked\n",
    "thetas_library_raw = ma.compress_rows(ma.vstack(thetas_w))\n",
    "\n",
    "#Load library from Onno\n",
    "mat=h5py.File('/home/antonio/Repositories/ForagingData/PNAS2011-DataStitched.mat','r')\n",
    "refs=list(mat['#refs#'].keys())[1:]\n",
    "tseries_w=[ma.masked_invalid(np.array(mat['#refs#'][ref]).T)[:,:5] for ref in refs]\n",
    "mat.close()\n",
    "modes_library = ma.compress_rows(ma.vstack(tseries_w))\n",
    "\n",
    "eigenworms_matrix = np.loadtxt('/home/antonio/Repositories/ForagingData/EigenWorms.csv', delimiter=',').astype(np.float32)\n",
    "\n",
    "#same number of samples from full theta\n",
    "# raw_samples = thetas_library_raw[np.random.choice(np.arange(len(thetas_library_raw)),np.sum(indices_curved),replace=False)]\n",
    "raw_samples = thetas_library_raw[::2]\n",
    "\n",
    "#find indices with larger curvature\n",
    "indices_curved = np.abs(modes_library[:,2])>np.percentile(raw_samples.dot(eigenworms_matrix[:,2]),90)\n",
    "#get same number of samples from raw angles and projected modes\n",
    "curved_samples = modes_library[indices_curved].dot(eigenworms_matrix[:,:5].T)\n",
    "\n",
    "thetas_library_combined = np.vstack((curved_samples,raw_samples))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "def uniform_samples(a3s,n_bins=100,total_n_samples=20000):\n",
    "    samples_per_bin = int(total_n_samples/n_bins)\n",
    "    step = 60/n_bins\n",
    "    indices=[]\n",
    "    for x0 in np.linspace(-30,30,n_bins):\n",
    "        xf = x0+step\n",
    "        sel = np.logical_and(a3s>=x0,a3s<=xf)\n",
    "        if np.sum(sel)>0:\n",
    "            if np.sum(sel)<samples_per_bin:\n",
    "                indices.append(np.arange(len(a3s))[sel])\n",
    "            else:\n",
    "                indices.append(np.random.choice(np.arange(len(a3s))[sel],samples_per_bin,replace=False))\n",
    "    return np.hstack(indices)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "indices = uniform_samples(thetas_library_combined.dot(eigenworms_matrix[:,2]))\n",
    "training_data = thetas_library_combined[indices]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(15359, 100)"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "training_data.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.hist(training_data.dot(eigenworms_matrix[:,2]),bins=50,range=[-30,30])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "gmm = GaussianMixture(n_components=num_gaussians)#,tol=.1,max_iter=100)\n",
    "gmm.fit(training_data)\n",
    "\n",
    "#sort according to curvature\n",
    "sorting_indices = np.argsort(np.sum(np.abs(np.diff(gmm.means_,axis=1)),axis=1))\n",
    "means = gmm.means_[sorting_indices]\n",
    "covariances = gmm.covariances_[sorting_indices]\n",
    "weights = gmm.weights_[sorting_indices]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "n_samples = len(training_data)\n",
    "n_samples_comp = np.random.multinomial(n_samples, weights)\n",
    "\n",
    "thetas_samples = np.vstack([\n",
    "    np.random.multivariate_normal(mean, covariance, int(sample))\n",
    "    for (mean, covariance, sample) in zip(\n",
    "        means, covariances, n_samples_comp)])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.hist(thetas_samples.dot(eigenworms_matrix[:,2]),bins=50,range=[-30,30])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 792x360 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(11,5))\n",
    "plt.subplot(1,2,1)\n",
    "plt.title('training data',fontsize=20)\n",
    "plt.imshow(np.cov(training_data.T),cmap='jet',vmin=-4,vmax=4)\n",
    "plt.xticks(fontsize=15)\n",
    "plt.yticks(fontsize=15)\n",
    "plt.subplot(1,2,2)\n",
    "plt.title('simulated shapes',fontsize=20)\n",
    "plt.imshow(np.cov(thetas_samples.T),cmap='jet',vmin=-4,vmax=4)\n",
    "plt.xticks(fontsize=15)\n",
    "plt.yticks(fontsize=15)\n",
    "plt.colorbar()\n",
    "plt.tight_layout()\n",
    "# plt.savefig('covariances.pdf')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [],
   "source": [
    "from matplotlib.colors import LinearSegmentedColormap\n",
    "\n",
    "cm_data = [[0.2081, 0.1663, 0.5292], [0.2116238095, 0.1897809524, 0.5776761905], \n",
    " [0.212252381, 0.2137714286, 0.6269714286], [0.2081, 0.2386, 0.6770857143], \n",
    " [0.1959047619, 0.2644571429, 0.7279], [0.1707285714, 0.2919380952, \n",
    "  0.779247619], [0.1252714286, 0.3242428571, 0.8302714286], \n",
    " [0.0591333333, 0.3598333333, 0.8683333333], [0.0116952381, 0.3875095238, \n",
    "  0.8819571429], [0.0059571429, 0.4086142857, 0.8828428571], \n",
    " [0.0165142857, 0.4266, 0.8786333333], [0.032852381, 0.4430428571, \n",
    "  0.8719571429], [0.0498142857, 0.4585714286, 0.8640571429], \n",
    " [0.0629333333, 0.4736904762, 0.8554380952], [0.0722666667, 0.4886666667, \n",
    "  0.8467], [0.0779428571, 0.5039857143, 0.8383714286], \n",
    " [0.079347619, 0.5200238095, 0.8311809524], [0.0749428571, 0.5375428571, \n",
    "  0.8262714286], [0.0640571429, 0.5569857143, 0.8239571429], \n",
    " [0.0487714286, 0.5772238095, 0.8228285714], [0.0343428571, 0.5965809524, \n",
    "  0.819852381], [0.0265, 0.6137, 0.8135], [0.0238904762, 0.6286619048, \n",
    "  0.8037619048], [0.0230904762, 0.6417857143, 0.7912666667], \n",
    " [0.0227714286, 0.6534857143, 0.7767571429], [0.0266619048, 0.6641952381, \n",
    "  0.7607190476], [0.0383714286, 0.6742714286, 0.743552381], \n",
    " [0.0589714286, 0.6837571429, 0.7253857143], \n",
    " [0.0843, 0.6928333333, 0.7061666667], [0.1132952381, 0.7015, 0.6858571429], \n",
    " [0.1452714286, 0.7097571429, 0.6646285714], [0.1801333333, 0.7176571429, \n",
    "  0.6424333333], [0.2178285714, 0.7250428571, 0.6192619048], \n",
    " [0.2586428571, 0.7317142857, 0.5954285714], [0.3021714286, 0.7376047619, \n",
    "  0.5711857143], [0.3481666667, 0.7424333333, 0.5472666667], \n",
    " [0.3952571429, 0.7459, 0.5244428571], [0.4420095238, 0.7480809524, \n",
    "  0.5033142857], [0.4871238095, 0.7490619048, 0.4839761905], \n",
    " [0.5300285714, 0.7491142857, 0.4661142857], [0.5708571429, 0.7485190476, \n",
    "  0.4493904762], [0.609852381, 0.7473142857, 0.4336857143], \n",
    " [0.6473, 0.7456, 0.4188], [0.6834190476, 0.7434761905, 0.4044333333], \n",
    " [0.7184095238, 0.7411333333, 0.3904761905], \n",
    " [0.7524857143, 0.7384, 0.3768142857], [0.7858428571, 0.7355666667, \n",
    "  0.3632714286], [0.8185047619, 0.7327333333, 0.3497904762], \n",
    " [0.8506571429, 0.7299, 0.3360285714], [0.8824333333, 0.7274333333, 0.3217], \n",
    " [0.9139333333, 0.7257857143, 0.3062761905], [0.9449571429, 0.7261142857, \n",
    "  0.2886428571], [0.9738952381, 0.7313952381, 0.266647619], \n",
    " [0.9937714286, 0.7454571429, 0.240347619], [0.9990428571, 0.7653142857, \n",
    "  0.2164142857], [0.9955333333, 0.7860571429, 0.196652381], \n",
    " [0.988, 0.8066, 0.1793666667], [0.9788571429, 0.8271428571, 0.1633142857], \n",
    " [0.9697, 0.8481380952, 0.147452381], [0.9625857143, 0.8705142857, 0.1309], \n",
    " [0.9588714286, 0.8949, 0.1132428571], [0.9598238095, 0.9218333333, \n",
    "  0.0948380952], [0.9661, 0.9514428571, 0.0755333333], \n",
    " [0.9763, 0.9831, 0.0538]]\n",
    "\n",
    "parula_map = LinearSegmentedColormap.from_list('parula', cm_data)\n",
    "# For use of \"viscm view\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 792x360 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(11,5))\n",
    "plt.subplot(1,2,1)\n",
    "plt.title('training data',fontsize=20)\n",
    "plt.imshow(np.cov(training_data.T),cmap=parula_map,vmin=-4,vmax=4)\n",
    "plt.xticks(fontsize=15)\n",
    "plt.yticks(fontsize=15)\n",
    "plt.subplot(1,2,2)\n",
    "plt.title('simulated shapes',fontsize=20)\n",
    "plt.imshow(np.cov(thetas_samples.T),cmap=parula_map,vmin=-4,vmax=4)\n",
    "plt.xticks(fontsize=15)\n",
    "plt.yticks(fontsize=15)\n",
    "plt.colorbar()\n",
    "plt.tight_layout()\n",
    "plt.savefig('covariances_parula.pdf')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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IHpIxioToFSQUhF3tNsYo2pVdzrB+MkaREL2NhIKwi5yyOpasS2fNvgIZo0iIXkxCQdiksq6ZF7YcZdk31hvd3H/JYO65cKCMUSRELyW/ueKcNJksvPttNs9tPkplfTPzx8fzm0vlRjdC9HYSCuKsaK1Zd6CQJevSyS6t44LkCH5/xXBGxMpBZCH6AgkF0WWtb3QzJDqAtxZO5KIhkSglxw2E6CskFMQZ5ZbX8eS6DFbvzSciwJu/zRvN9RPi8XB3c3RpQgg7k1AQHapuaOalrcd44+sTuCm4f2ay3OhGiD5OfrvFD5jMFlak5vCPz49QWtvEvHFx/PayocSGyI1uhOjrJBTE92zNKOKvnx3myKkaJg0IY+mVwxkTH+LosoQQPURCQQBwuKCKv352mK+OltA/3I9XbpvAZSOj5SCyEC7GplBQSoUBK4AkIAu4QWtd3k67dcAU4Gut9VWtpg8AlgNhwG7gdq11ky01ibNzqqqBpz/P4MNduQT5ePKHq0Zw+5T+eHnIQWQhXJGtv/kPApu01oOBTcb79jwF3N7O9CeAZ4zly4G7baxHdFFto4lnNhxhxlNbWbknn0UXDODL313M3RcMkEAQwoXZ2n00F5hhvF4GbAUeaNtIa71JKTWj9TRl7ZeYCdzSavk/Ay/bWJPohMWi+WhXLk99nkFxdSNXjonhgcuGkRguw1kLIWwPhWitdQGA1rpAKRV1FsuGAxVaa5PxPheI66ixUmoxsBggMTHxHMt1bbuyy/jz6kPsz6tkXGIIr9w2gQn9Qx1dlhDCiZwxFJRSG4F+7cx62MZ1t3cEU3fUWGv9KvAqQEpKSoftxA8VVjawZO1hVqblEx3kzbM3jmXu2Fg5iCyE+IEzhoLWelZH85RSp5RSMcZeQgxQdBbrLgFClFIext5CPJB/FsuLM2hoNvP6V8d5ccsxzFpz38XJ/HSGXHwmhOiYrd8Oq4EFwBLjeVVXF9Raa6XUFmA+1jOQzmp50TGtNRsOneKxNYfIKavnspHRPHzFCDluIIQ4I1tDYQnwgVLqbuAkcD2AUioF+InWepHx/itgGBCglMoF7tZar8d6UHq5UuovwB7gDRvrcXnZpbX8efVBtmQUMzgqgPcWTWZacoSjyxJC9BI2hYLWuhS4pJ3pqcCiVu+nd7D8cWCSLTUIq4ZmMy9vPcbLXxzD003xyJXDWXB+Ep4yaJ0Q4ixI53IfsDn9FH9efYiTZXX86LxYHr5yONFBcrMbIcTZk1DoxXLL6/jz6kNsPHyK5KgA/r1oMudLV5EQwgYSCr2Q2aJ565ssnv48A63hocuHsXCaXIkshLCdhEIvcyCvkoc+2c/+vEpmDovi0bkjiQ+Vs4qEEPYhodBL1DWZeHbjUd74+gShfl68cMs4rhwdIxegCSHsSkKhF/jiSDEP/2c/ueX13DwpgQfnDCfYz9PRZQkh+iAJBSdWWd/M42sO8UFqLgMj/VmxeAqTB4Y7uiwhRB8moeCktqQX8dAn+ymqbuDeGYO4/5LB+Hi6O7osIUQfJ6HgZCrrm3ns00N8tCuXIdEB/Ov2aZyXILfDFEL0DAkFJ7I5/RQPfbKfkpom7rs4mZ9fkoy3h+wdCCF6joSCE6hrMvHYp4d5f8dJhkYH8vodExkdH+zosoQQLkhCwcEO5FVy//I9nCip5Z6LBvLr2UNk70AI4TASCg5isWhe++o4f/88g3B/b95bNJnzB8kQFUIIx5JQcIDCygZ+82Ea2zJLmTOyH3+bN5pQfy9HlyWEEBIKPW1z+il+/cFeGpstLJk3mhsnJshVyUIIpyGh0EMsFs1zm4/y7MajjIgJ4vlbxjEoMsDRZQkhxPdIKPSAyvpmfrUijc3pRcwbH8dfrx0tF6IJIZyShEI3Sy+s4p53dpFXXs9jc0dy25T+0l0khHBaEgrdaFVaHg9+vJ9AHw+WL55CSlKYo0sSQohO2XRXFqVUmFJqg1LqqPEc2kG7dUqpCqXUp22mv6WUOqGUSjMeY22px1lYLJqn1qfzi+VpjIoL4tOfXyCBIIToFWy9VdeDwCat9WBgk/G+PU8Bt3cw73da67HGI83GehyuodnM/cv38OKWY9w0MYH3Fk0hSu6XLIToJWwNhbnAMuP1MuCa9hpprTcB1Tauy+mV1jRyy2vf8um+Ah68fBh/mzdabpEphOhVbP3GitZaFwAYz1Hn8BmPK6X2KaWeUUp5d9RIKbVYKZWqlEotLi4+13q7TWZRDde+9A0H86t4+dbx/OSiQXJAWQjR65wxFJRSG5VSB9p5zLXD+h8ChgETgTDggY4aaq1f1VqnaK1TIiMj7bBq+/n2eCnzXtpGXZOJ5YuncPnoGEeXJIQQ5+SMZx9prWd1NE8pdUopFaO1LlBKxQBFZ7Py03sZQKNSainw27NZ3hl8caSYxW+nkhDmx9I7J5IQ5ufokoQQ4pzZ2n20GlhgvF4ArDqbhY0gQVn7Wa4BDthYT4/anH6KHy9LZVBkAB/cM1UCQQjR69kaCkuA2Uqpo8Bs4z1KqRSl1OunGymlvgI+BC5RSuUqpS4zZr2nlNoP7AcigL/YWE+P+fxgIfe8s4uh/QL5948nEyYD2gkh+gCbLl7TWpcCl7QzPRVY1Or99A6Wn2nL+h1l7f4Cfv7+HkbFBbPsrkkE+3o6uiQhhLALuaL5LK3ZV8D9y/cwNiGEtxZOJNBHAkEI0XdIKJyFb46V8MsVexifGMLShZMI8JbNJ4ToW+TKqi46cqqae97ZRf9wf16/Y6IEghCiT5JQ6IKiqgYWLt2Jj6c7by2cSLCfdBkJIfomCYUzqG00cdeynZTXNfHmgonEh8ppp0KIvktCoRNmi+a+f+/mUH4VL94yntHxwY4uSQghupV0jHfimQ1H2JJRzF+uGcXFw85lWCchhOhdJBQ6sCW9iBe2ZHJjSgK3Tenv6HJ6VJPJQmV9c8ujyniubjThrhReHm54uiu83N3wdHcz3rvh5aHwdHcj0MeT2BAfvD3klqNC9DYSCu3ILa/jVx+kMTwmiP83d6Sjy7G70ppGMotqyCyuIbOohmPFtRRVNVBZ30xFXTP1zWab16EURAf6kBDmS3yoHwmhvsSH+REf6ktCqB8xwT54uEvvpRDORkKhjUaTmZ/9ew9ms+alW8fj49l7/9qtazKxO7uC9MIqjhkBkFlUQ3ldc0sbX093BkX5kxjmR7Cv5/8eftbnoFbTAn08sFig2WyhyWyhyWSh2Wx9NJk0TWYLzSYLFfXN5JbXkVNWT055HTtOlLEqrR6L/l9tnu6KEbHBTOwfSkpSKBP6hxEZ2OHI6UKIHiKh0MZf1xxmb04Fr9w2ngER/o4u56yYzBb25layLbOEbZkl7D5ZTrPZ+k0c6udJclQAc0b1Y1BkAMlR1kdssC9ubt1/34cmk4XCygZyyuvIKavjRGkte7IrePvbbF7/+gQASeF+TOgfxsQka1AMigyQe1II0cMkFFrZmlHEsu3Z3H3BAOaMcv57ImitySyq4evMErZllvLd8VKqG00oBSNjg7hr2gDOT45gVGwQ4QGO/Svcy8ONxHA/EsO/f0pvo8nMgbwqdmWXsTOrnC0ZRXy8OxeAMH8v5ozqx3Xj4xifGCoBIUQPUFrrM7dyMikpKTo1NdWun1nbaOLSZ77Ex9ONz34x3akPkmYW1fCfPbms3JNPXkU9AP3D/Th/UAQXJEcwdVB4rx21VWvN8ZJadmWV83VmCZ8fKqSh2UL/cD/mjYtn3vg4GaJciHOklNqltU7ptI2EgtWj/z3Em9tO8NFPppKSFGbXz7aH8tom/rsvn49357E3pwI3BRcOieSykf24IDmiz35R1jSaWLu/gE9257H9eCkAk5LCmDc+jivGxBAkAxIK0WUSCl2052Q5817+htsm9+exa0bZ7XNt1WgysyW9mE9257Ilo4hms2ZYv0DmT4jnR+fFEhXk4+gSe1RueR2r0vL5eHcux4tr8fZwY/6EeH52cTKxIb6OLk8Ipyeh0AVNJgtXP/81VQ3NfP6rC51iKOzKumaWbc/irW+yKKttIiLAm2vGxjJvfDwjYoMcXZ7Daa3Zm1vJip0n+WhXLgrFjRMTuPfiQcQESzgI0ZGuhILLH2h+65sTZJyq5o0FKQ4PhKLqBt74+gTvbs+mtsnMzGFR3D61P9OTI+Sc/laUUoxNCGFsQgg/uziZF7cc4/0dJ1mxM4ebJyVw78XJRLvYXpQQ9uLSewqNJjMXPLGFYf0CeefuyXao7NzklNXx6pfHWZGag8ls4coxsfz0okGyV3AWcsrqeHFLJh/tysXNTXHLpETunTHI5brYhOiM7Cmcwco9eRRXN/LMDWMdsv4TJbU8v/koq9LycVNw3fh47rloUK+7PsIZJIT5seS6Mfzs4mSe33yUd77N5uPdufz12tFcfV6so8sTotewaU9BKRUGrACSgCzgBq11eZs2Y4GXgSDADDyutV5hzBsALAfCgN3A7VrrpjOt1x57ChaLZvYzX+Dt4c6a+y/o0XPgG5rNvLQlk1e+OI67m+KWyYksmj5A+sPt6HhxDb/5cC97TlYwb3wcj84dJTdGEi6vK3sKtnZUPwhs0loPBjYZ79uqA+7QWo8E5gDPKqVCjHlPAM8Yy5cDd9tYT5dtySjiWHEt91w0sEcDYWtGEZc9+yXPbc7k8tH9+OL/ZvCHq0ZIINjZwMgAPrhnKvfPTGblnjyu+OdX7D5ZfuYFhXBxtobCXGCZ8XoZcE3bBlrrI1rro8brfKAIiFTWb+KZwEedLd9d/vXlcWKDfbhidM9cuVxY2cC97+3izqU7cVeK9xZN5p83jSMqUPq8u4unuxu/vnQoK+6Zitmiuf6V7Ty36Sgms8XRpQnhtGzdn47WWhcAaK0LlFKd3nRAKTUJ8AKOAeFAhdbaZMzOBeI6WXYxsBggMTHRpqKPF9ew40QZv79iGJ7dfFaP2aJZuu0Ez2w4gsmi+c3sISy+aKBTXzHd10xMCmPtL6fzh5UH+MeGI2zLLOF1JzjbTAhndMZQUEptBPq1M+vhs1mRUioGeAdYoLW2qPb7bDo8wKG1fhV4FazHFM5m3W2tPVAIwFVjuvcAZFF1A794P43tx0uZMTSSR3806gdj/4ieEeTjyT9vGseFgyN54ON93Ll0J8vumiTHGYRo44y/EVrrWR3NU0qdUkrFGHsJMVi7htprFwSsAR7RWn9rTC4BQpRSHsbeQjyQf9b/gnOw/mAh5yWEdOtVsN9klnD/8jRqGpt5cv4Yrp8QLwO6OYHrJsTj5+XOfe/v4a6lO3nrron4eUkwCHGarX0nq4EFxusFwKq2DZRSXsB/gLe11h+enq6tpz1tAeZ3try95ZbXsS+3kstHtbfzYzuzRfPsxiPc+sZ3hPh5svq+C7ghJUECwYlcPjqGZ28cS2p2GXe9tZP6JttvKiREX2FrKCwBZiuljgKzjfcopVKUUq8bbW4ALgTuVEqlGY/TFwY8APxaKZWJ9RjDGzbWc0brjK6jOSPtHwrF1Y0seHMHz248yrVj41j1s2kMiQ60+3qE7a4+L5ZnbhzLjhNlLHp7Jw12uNucEH2BTfvNWutS4JJ2pqcCi4zX7wLvdrD8cWCSLTWcrc8PnmJYv0CS7HyBWFpOBYvfTqWyvpknrxvD9SnSXeTs5o6Nw2TW/Pajvdz37928dkeK/J8Jl+dSA+porTmQX8mUgeF2/dwtGUXc/Oq3eHu6seq+adwwUbqLeovrJsTzyJUj2Hi4iBU7cxxdjhAO51KhcKqqkbomM4Mi7beX8GFqDouWpTIw0p+Pf3o+w/rJeEW9zcLzk5g6MJy/rDlMbnmdo8sRwqFcKhSOl9QAMCAiwObP0lrz4pZMfvfRPqYODGfFPVPlQrReys1N8eT8MWiteeDjffTGQSKFsBeXCoUTJbUADLBxT8Fs0fx59UGeWp/B3LGxvHnnRDnfvZdLCPPjoSuGsy2zlPe+O+nocoRwGNcKheJafDzdiLFhOGWLRfO7j/aybHs2iy8cyDM3jMXLw6U2Y5916+RELkiO4K+fHSanTLqRhGtyqW+z7LI6EsP8cHM7t4PAWmseW3OIT3bn8atZQ/j9FcPP+bOE81FKseS60TSbLSzdluXocsVtDWgAABU4SURBVIRwCJcKBZPZgo/nuY859MLmTJZuy+KuaQO4/5JkO1YmnEV8qB+zhkezMi2PJpMMnCdcj0uFAsC5HkN859tsnt5whHnj4njkyuFyymkfdn1KPGW1TWxOb3fUFiH6NJcKBaUUuuMx9zq0em8+f1x1gFnDo3hi/hjpMurjLhwcSVSgNx/tkusWhOtxrVDg7PcUdmaV8esVaUzsH8YLt4zv9qG2heN5uLsxb3w8WzKKKapucHQ5QvQol/qGO9sen5KaRu77927iQ315bUGKTccjRO9yfUo8Zovmv3sLHF2KED3KpULB28Od2kbTmRtivRbhl8vTKK9r5sVbxxPsKzdkcSWDIgOICPAmo7DK0aUI0aNcKhSSowLILqvr0lDJL2zO5OvMEv7fj0YyMja4B6oTzqZ/uB/ZpXK9gnAtLhUKw2MC0RqOFlV32m5bZgnPbjrCtePiuGliQg9VJ5xN/zA/TspFbMLFuFQoDDUGq0sv6DgUSmoa+cXyPSRHBvD4taPk1FMXlhjuR2FVg9xrQbgUlwqFxDA/fD3dSS/sOBQe+/QQlfXNvHDLeLlNo4vrH+6H1sjIqcKluFQouLsphvQL5HBB+wcPvzhSzKq0fH46I5mh/eSOaa7u9Ki3RVWNDq5EiJ7jUqEAMLF/KLuyy6moa/re9PomM4+s3M/ACH/unTHIQdUJZ1JYab1GoV+wDIkuXIfLhcI14+JoMlv4bH/h96Y/u+kIOWX1/HXeaLkeQQCQXVqLm7KOhySEq7ApFJRSYUqpDUqpo8ZzaDttxiqltiulDiql9imlbmw17y2l1AmlVJrxGGtLPV0xMjaI5KgA/rMnt2XaofwqXv/qBDekxNv9Vp2i98ouqyMm2FeGRhcuxdaf9geBTVrrwcAm431bdcAdWuuRwBzgWaVUSKv5v9NajzUeaTbWc0ZKKa4dF8fOrPKWMfP/tvYwQT4e/P6K4d29etGLZJfW0T9c9hKEa7E1FOYCy4zXy4Br2jbQWh/RWh81XucDRUCkjeu1ydyxsQCsSstjZ1YZXx0t4aczBhHi5+XIsoSTOVkmoSBcj62hEK21LgAwnqM6a6yUmgR4AcdaTX7c6FZ6RinlbWM9XRIf6sekAWGsSM3hyXXpRAR4c/uUpJ5YteglDuVXUVbbxAi5ml24mDOGglJqo1LqQDuPuWezIqVUDPAOsFBrffruJQ8Bw4CJQBjwQCfLL1ZKpSqlUouLi89m1e26d8Ygcsrq2ZlVzk9nDMLXSw4ui//5eHcunu6Kq0bHOLoUIXrUGa/O0lrP6mieUuqUUipGa11gfOm3e1cSpVQQsAZ4RGv9bavPPj0EZaNSainw207qeBV4FSAlJeUcb5XzPxcN+V8P1tVj5Bdf/E+z2cLKPXlcMiyaUH/pUhSuxdbuo9XAAuP1AmBV2wZKKS/gP8DbWusP28yLMZ4V1uMRB2ysp8t2ZpW3vH7j6xM9tVrRC3yRUUxpbRPzJ8Q7uhQhepytobAEmK2UOgrMNt6jlEpRSr1utLkBuBC4s51TT99TSu0H9gMRwF9srKfLVqbl4evpzpVjYli6LavlTCQhPtqVS0SAFxcNdej5EEI4hE2D+2itS4FL2pmeCiwyXr8LvNvB8jNtWf+5MpktrD9QyMzhUTxy5XA2HjrFkrXpvHDLOBkAz8XllNWxKf0UC6YmyV32hEtyyZ/6HSfKKK1t4srRMcQE+3Lfxcms2V/A8p1yT15XprXm9//Zj5e7G3ddMMDR5QjhEC4ZCmv2F+Dr6c7FQ61n0N57cTLTB0fwp1UH2Zdb4eDqhKN8tCuXr46W8ODlw4gN8XV0OUI4hMuFgtmiWX+wkJnDolpOQ3V3U/zzpnFEBHjx03d3U17bdIZPEX1NUXUDf1lzmIlJodw6ub+jyxHCYVwuFA7mV1JS08SlI6O/Nz3M34uXbptAcXUjv1yRhsVi81mvohf58+qD1DebWXLdGNzc5LiScF0uFwoH8qz3UhiX8IOx+xibEMIfrx7BF0eKeXbjkZ4uTTjIf/fm89n+Qn45azCDIgMcXY4QDuVytxY7mF9JoI8HCWHt9xnfOjmRvTkVPLc5Ew93N34+M1nOSOrDtmWW8JsP9zIuMYQfTx/o6HKEcDgXDIUqRsQEdfhFr5Tib/NGY9Hwjw1HqG008eDlwyQY+qBd2WUsWpbKwAh/lt45UU5BFQIXCwWzRZNeWMXNkxI7befh7sZT88fg5+XOv748Tm2TiUd/NEr6mvuQA3mV3Ll0JzHBPrxz92QZIVcIg0uFwomSGhqaLYzswsiXbm6KR+eOxM/bnX99cZy6JjNPXjcGD/lrstc7eqqaO97cQZCPJ+8umkxkYI8MzitEr+BSoVDbaAYg2NezS+2VUjw4ZxiB3h78/fMj1DSYePqG8wj06drywvmkF1ax4M0duLsp3ls0Wa5HEKINl/qzNybEegP2gsr6Li+jlOK+mYP509Uj2Hj4FFc9/7Vc4NZLrdyTxzUvbsOi4d27J5MU4e/okoRwOi4VChH+3ni5u5FX0fVQOG3htAGsuGcqzSYL1738Da99eVyuZeglmkwW/rjqAL9ckcaYuBDW/PwChvYLdHRZQjgllwoFNzdFTIgP+RUN57T8xKQwPvvFdGYOi+Lxzw6z8K2dlNQ02rlKYU8FlfXc+Op23t6ezaILBvDejycTFeTj6LKEcFouFQoAMcE+FJzDnsJpIX5evHLbBB67ZhTbj5dy+T+/4uujJXasUNjLN5klXPXc1xwprObFW8bzyFUj5LRTIc7A5X5DYkN8ySqtxWxD149Situn9GfVz6YR7OvJbW98x8/f30NuudyTwRmU1Tbx0Cf7uPWN7wj192LVfdO4Uu6uJ0SXuFwozBoeTUlNExsOFdr8WcNjgvjvfRdw/yWD2XCokEue/oK/r8+gttFkh0rF2TKZLby9PYsZT23hg9RcFp4/gJU/m0ZylBw/EKKrlNa972BpSkqKTk1NPadlzRbNzKe3EuLnxcp7z7fblcr5FfU8uS6dlWn5RAV687vLhnLd+Hi54K2H7DhRxh9XHSC9sJrzB4Xz5x+NZEi0hIEQrSmldmmtUzpr43J7Cu5uih9PH8jenAq+O1Fmt8+NDfHl2ZvG8cm95xMb4svvPtrH3Be3sf1YKb0xeHuLwsoGfrF8Dzf8azvVDSZeunU87y2aLIEgxDlyuT0FgIZmM9OWbGZMfDBLF06yY2VWWmtW781nydp0CiobOC8+mIXTBnDF6Bi8PFwuh7vF4YIqlm47wcq0fAB+cuFAfjojueUeGUKIH+rKnoJLhgLA85uO8vSGI3x2/3RGxAbZqbLvq28y8/HuXN7cdoLjxbVEBXpzx9T+3DK5P2H+MtbO2bJYNJvTi3hz2wm+OVaKj6cb142P554LB5EY7ufo8oRwej0SCkqpMGAFkARkATdorcvbtOkPfAK4A57A81rrV4x5E4C3AF/gM+AX+gxF2SMUKuqauOiprQR4e7B88RQSwrrvS8Vi0Xx5tJg3t2Xx5ZFivD3cuHZcHAunDZCLqLqgptHER6k5vPVNFlmldcQE+3DH1CRunpQgA9kJcRZ6KhSeBMq01kuUUg8CoVrrB9q08TLW1aiUCgAOAOdrrfOVUjuAXwDfYg2F57TWaztbpz1CAWB/biW3vfEd/l7uvL94Cv3Du3/Yg8yiapZuy+Lj3bk0NFtI6R/KnFH9uGxkv24Npt6m2Wzhu+NlrD1QwOq0fKobTYxLDOGuaQOYM6qfXG8gxDnoqVDIAGZorQuUUjHAVq310E7ahwN7gCmABrZorYcZ8242PuueztZpr1AA6013bnv9O7w9rMEwoIfGw6moa2L5zhxWp+VzqMB6N7iRsUHMGdmPOaP6kRwV4HL3cGhoNvPlkWLWHSxk0+EiKuub8fV0Z/aIaO6clsT4xB/eLU8I0XU9FQoVWuuQVu/LtdY/+O1VSiUAa4Bk4Hda6xeVUinAEq31LKPNdOABrfVV7Sy/GFgMkJiYOCE7O9umuls7XFDFra9/h4eb4v3FU3r8lownS+tYf7CQdQcL2ZVt7XkbGOnPZSOtexCjYoP67JDdVQ3NbEkvYv3BQrakF1PfbCbIx4NZI6KZM7IfFw6JxMdTDh4LYQ92CwWl1EagXzuzHgaWdSUUWs2PBVYCVwOJwN/ahML/aa2v7qwee+4pnJZRWM2tr38LKJ6/eRxTB4Xb9fO76lRVA58fOsX6A4VsP16K2aLx9XRndHww4xJDGJcQyvjEkF45fo/WmhMltew5WcGenHLScio4XFCN2aKJDPTmspHRzBkZw+SBYdI9JEQ3cMruI2OZpVj3Grbh4O6j1jKLqlnw5k7yKuqZPjiC3146lPMSQs68YDcpr23iq8wS9pwsZ8/JCg7mV9Jstv5/xYX4MjYhhHGJIZyXEMKACH/C/b2cqsupoq6JtJwK9pysIC3H+qisbwYgwNuD8xKCGZcQysXDohiXECIX+gnRzXoqFJ4CSlsdaA7TWv9fmzbxRpt6pVQo8B1wndZ6v1JqJ/BzY9pnWM9M+qyzdXZXKIC1X/ud7dm8tDWT8rpmLh0RzW8uHeoUZwk1NJs5VFBl/UvbCIrWw4D7ebmTEOpHQpgv8aF+JIT5kRhmfZ8Q6oe/t33vqVTd0Exueb3xqGvzXN8SAErB0OhAxiWGGEEWyqDIANwlBIToUT0VCuHAB1i7gk4C12uty4zjBT/RWi9SSs0GnsZ6YFkBL2itXzWWT+F/p6SuBX7eE6eknklNo4k3vz7Ba18ep6bJxNzzYvnlrCFOd2OWoqoG9udVcrKsjpNldeSUWb+Yc8rqqG0yf6+tr6c7/t4eBHi74+flQYC3B/7ep6d54O/tga+nO81mC/XNZuqbzNQ3m2loNrd6b6Gh2UxZbVPLl37rz48P9TUe1jAaFRfMmPgQAuwcSEKIsycXr9lBeW0T//ryOG99c4Jms2bW8CguHBLJhYMjnfoUUq01ZbVN5JTXk1NWR055HeW1TdQ0mqltNFHbaKKm0URtk4naRjM1jSbqGk3UNZvxcnfD18sdX0/rw8fTHV8vd/y8jNee7gT5epAQ6kd8qF9LEIQ5WfeVEOL7JBTsqKiqgVe+OM66AwXkV1pv0pMU7sf0wZFMHxzB1EHhfeLezVpr+WIXoo+SUOgGWmuOl9Ty1ZFivjpawvbjpdQ1mXF3U4xPDOGC5EiG9gskPtSXhDA/gn17f1AIIfoGCYUe0GSysPtkOV8dtYbE/rxKWm/SQB+P7x/8Nfrbo4K8W7pm/Lys3TM+Hu5yBo4QottIKDhAVUMzJ0utB3pzy+vJKf/+64ZmS6fLe3u06s/3cufeGcnMnxDfQ9ULIfqyroSCnBJiZ0E+noyKC2ZUXPAP5mmtKa1tIqesjtKaJusZPafP7mkyU9fU9kwfM2H+0v0khOg5Ego9SClFRIA3EQHeji5FCCHaJWMJCCGEaCGhIIQQooWEghBCiBYSCkIIIVpIKAghhGghoSCEEKKFhIIQQogWEgpCCCFa9MphLpRSxYD9btJsfxFAiaOLsIHU7zi9uXaQ+h2pK7X311pHdtagV4aCs1NKpZ5pfBFnJvU7Tm+uHaR+R7JX7dJ9JIQQooWEghBCiBYSCt3jVUcXYCOp33F6c+0g9TuSXWqXYwpCCCFayJ6CEEKIFhIKQgghWkgonCOlVJhSaoNS6qjxHNpOm/5KqV1KqTSl1EGl1E9azZuglNqvlMpUSj2nlOrRmzN3sf6xSqntRu37lFI3tpr3llLqhPFvS1NKje1l9Q9QSn1nLL9CKeXlTLUb7dYppSqUUp+2me70295o11H9Dtv2xvq7Wv8Co81RpdSCVtO3KqUyWm3/qB6oeY6xzkyl1IPtzPc2tmWmsW2TWs17yJieoZS67Iwr01rL4xwewJPAg8brB4En2mnjBXgbrwOALCDWeL8DmAooYC1wuRPWPwQYbLyOBQqAEOP9W8B8J9/+ndX/AXCT8foV4KfOVLsx7xLgauDTNtOdftufoX6Hbfuz+NkJA44bz6HG61Bj3lYgpQfrdQeOAQON75S9wIg2be4FXjFe3wSsMF6PMNp7AwOMz3HvdH2O+sHq7Q8gA4gxXscAGWdoHw6cNL6cYoD0VvNuBv7lzPUb7fa2+pJ19BfTOdePNYhLAA9j+lRgvTPWDsxwwlA45/odve27Wn/b30ngX8DNxuueDoXvbSPgIeChNm3WA1ON1x7GNlZt27Zu19FDuo/OXbTWugDAeG53F1IplaCU2gfkYP2LJB+IA3JbNcs1pvWkLtV/mlJqEta/Uo61mvy40S3zjFKqp288bUv94UCF1tpkzO7p7X9WtXeg12z7Nhy97aFr9cdh/Z09rW2dS42uoz/0QNfvmWr5Xhtj21Zi3dZdWfZ7PGwstk9TSm0E+rUz6+GufobWOgcYo5SKBVYqpT7CmuA/aHpuVXbMHvUbnxMDvAMs0FpbjMkPAYVYv2hfBR4AHj33attdb7fU38EvsV23v71q70Cv2fbtfXQ705zxZ7+zOm/VWucppQKBj4HbgbfPvsou68o266jNWW9vCYVOaK1ndTRPKXVKKRWjtS4wvnSKzvBZ+Uqpg8B0YBsQ32p2PJBvj5rbrNPm+pVSQcAa4BGt9betPrvAeNmolFoK/NaOpZ9eR3fVXwKEKKU8jL+q7L797fmz085n94pt34Fu3/Zgl/pzsXZ9nRaPtdsIrXWe8VytlPo3MInuDYVcIKFNLW232ek2uUopDyAYKOvist8j3UfnbjVw+oyEBcCqtg2UUvFKKV/jdSgwDWv/ZQFQrZSaYvzVekd7y3ezrtTvBfwHeFtr/WGbeTHGswKuAQ50a7U/dM71a2vn6hZgfmfLd6Mz1t6Z3rDtO+IE2x66Vv964FKlVKjxu3spsF4p5aGUigBQSnkCV9H9238nMNg4a8sL64Hk1W3atP43zQc2G9t6NXCTcXbSAKzH1HZ0uraePMDTlx5Y++s2AUeN5zBjegrwuvF6NrAP6wHOfcDiVsunYP1hOga8gHF1uZPVfxvQDKS1eow15m0G9hv/hneBgF5W/0DjlyMT+BDjLDFnqd14/xVQDNRj/Yvvst6y7c9Qv8O2/VnWf5dRYyaw0JjmD+wyfp8PAv/kDGfz2KnmK4AjxvfFw8a0R4EfGa99jG2ZaWzbga2WfdhYLoMunOUow1wIIYRoId1HQgghWkgoCCGEaCGhIIQQooWEghBCiBYSCkIIIVpIKAghhGghoSCEEKLF/weSwkiAc4tPegAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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BLVrrImCL//WZhoDPaa3nAdcCP1dKJQS4XSGECHker+Znm2r43BO7SI41s/Frq4MW9hB4k84twDr/8yeBd4DvjF1Ba10z5nmLUqoDSAV6A9y2EEKErLY+B99+oZLtdV18cmk2P7x1PtHm4LaiB7r1dK11K4DWulUpdc5BnJVSKwAzcPQsy+8H7gfIy8sLsGhCCDH1PF7Nb3c08NM3a3B7vfzLbQu4szx30i+quhDnDXyl1GZgvOt9H76YDSmlMoHfAvdorb3jraO1fgx4DKC8vFxfzOcLIUSwVbXYeejlA1Q29rK2KIUf3bqAvOToYBdr1HkDX2u9/mzLlFLtSqlM/9F9JtBxlvWswGvAd7XWOz92aYUQIgQNOz38fEsNj2+rJyEqgn+/azE3L8oKiaP6sQJt0tkI3AM84p++cuYKSikz8DLwlNb6hQC3J4QQIUNrzRuH2vjR69U09gzzqfJcHrq+lIRoc7CLNq5AA/8R4Hml1JeAE8AdAEqpcuArWut7gTuBy4BkpdTn/e/7vNZ6X4DbFkKIoNBas72ui5+8cYT9TX3MSYvluftXsbIwOdhFOyeldWg2lZeXl+uKiopgF0MIIU6z57iNn7xxmJ3HeshOiOKb64v45JJsTMbQGLhAKbVHa10+3jK50lYIIS5Adaudf33zCJurO0iJNfO9m8r49Mo8LCZjsIt2wSTwhRDiHPaesPGrbcf488E24iwmHrimhC+szg96n/qPY/qVWAghJpnHq9lc3c6vth6j4rgNa6SJr66bzf1rZxMfPXm3IJxsEvhCCOE37PTwhw+b+PX2euq7BslJjOL/3lTGneW5xFimf1xO/59ACCEC1NHv4OmdJ3h653F6Bp0syonnPz+zhGvnZYTMydiJIIEvhAhLHq9ma20nz+46wZbqDtxezfq56dy3toAVBUkhd9HURJDAF0KElebeYZ7f3cgLFY209DlIjjHzxTUF3LU8l8LU2GAXb1JJ4AshZjyXx8uW6g6e3X2Cd2s6AVgzJ4Xv3ljG+rnpmE0zp9nmXCTwhRAzktaag812/rivmVf2tdA1MEKGNZKvXzGHO8pzyU0KnUHNpooEvhBiRjnRPcQr+5r5475mjnYOYjYauKI0lTvLc7m8OHVGnYS9WBL4Qohpr2fQyWv7W/jjvhb2HPfdZXVlQRL3ri3k+vmZ07rv/ESSwBdCTEt2h4st1e28WtnKuzWduL2akvQ4vnNtKTcvziI7ISrYRQw5EvhCiGnDNuhkU1U7rx9s5b26LlweTWZ8JF9aW8Cti7OZm2kNdhFDmgS+ECKkdfQ7ePNQO38+2MrOYz14vJqcxCi+sLqAa+dnsDgnAYNh5vWZnwwS+EKIkNPYM8Tm6nb+fLCN3Q09aA0FKTF8+bJCrl+Qybws64y8MGqySeALIYLO69Xsb+5jc1U7m6vbOdzWD0BxeizfuLKI6xZkUJIeJyEfIAl8IURQOFwe3qvrYnN1O5urO+jsH8GgoDw/iYevn8tVc9Nm/JWvU00CXwgxZdrtDt450sHm6g621XbicHmJtZi4vDiV9WVprCtOIzEmNO8HOxNI4AshJo3b42VfYy9vH+ng7cOdVLXaAchOiOJT5bmsL0tnZUFy2AxtEGwS+EKICdU1MMK7Rzp5+0gHW2s6sTvcGA2KZbMS+c61pawrSaU0Q9rjg0ECXwgREI9Xs6+xl3drOnn3SAeVTX0ApMZZuGZeBleUprF6TgrxUXK1a7BJ4AshLlpr3zBbazrZWtPF9rou+oZdGBQsyUvk21cXs64kjbJMq/SPDzES+EKI83K4POxu6OHdI51sre2kpn0AgHSrhavL0rm8JJU1c1JIiJYTrqFMAl8I8RFaa452DvqO4ms72XmsG4fLi9loYEVBErcvy+Hy4jSK02OlLX4akcAXQgDQN+TivaNdbK3pZFttF829w4DvCte7ludxeXEqKwuTiDZLbExX8psTIkx5vJrKpl5/W3wn+xp78WqIs5i4dE4yX71iNpcVpYbljUJmKgl8IcJIS+/w6BH8yZOtSsHCnAT+5oo5XFacyuLcBCLC+CYhM5kEvhAz2JDTzQfHetha6zuKP9o5CJw62XpZse9kq1zdGh4k8IWYQbxeTXWbna01XWyr7aSiwYbT48ViMrCyMJlPr8jjsuJUitLkZGs4ksAXYpqzDTrZWtvp7zLZRdfACAClGXF8fnU+a4tSWJ6fRGSEMcglFcEmgS/ENOP1ag409/H2kQ7eOdJJZVMvWkNidARri1K5rDiVtUUppFsjg11UEWIk8IWYBnoGnWyt6eRdf4+a7kHn6MnWb1xZxLqSVBbmJGCUK1vFOUjgCxGCtNYcbutnS3U7Ww53sK/RdxSfFGPmsqIU1pWksbYoheRYS7CLKqYRCXwhQoTD5WHnsW62VHfw1uGO0QufFuXE882rilhXksaC7Hg5ihcfW0CBr5RKAp4D8oEG4E6tte2MdWYBLwFGIAL4hdb6l4FsV4iZorN/hLcPd7DlcDvbarsYcnqIijCypiiFb1w1hytK0kiTtngxQQI9wn8Q2KK1fkQp9aD/9XfOWKcVuFRrPaKUigUOKqU2aq1bAty2ENPS0c4B3jzUzptVbaNNNZnxkXxiSTbr56Zzyexk6VEjJkWggX8LsM7//EngHc4IfK21c8xLCyCX8Imw4vUPYfBmVTtvHmobvfhpQXY831pfzFVzfUMJS794MdkCDfx0rXUrgNa6VSmVNt5KSqlc4DVgDvDA2Y7ulVL3A/cD5OXlBVg0IYLH6fay81g3b1a1samqnXb7CCaDYlVhMvdcms/6uelkJUQFu5gizJw38JVSm4GMcRY9fKEb0Vo3AguVUlnAH5VSL2qt28dZ7zHgMYDy8nJ9oZ8vfL06hpwe+oZd9A27sJ+cOtwMO904XF5G3J5xpw6XhxH36VOn24tXa7wavFqjtW8bGkbnn5znPTnf65uONfaY9eQR7NgDWTVmmUEpTAaF8YyHyeBfZjy1jsFwal3f1ECE8dRrk9EwujzCaBiznm9ZhEERYTIQYTRgNvrWMftfRxgNWEaf+9Yz+5ebjQYsEQYiTUYiI4xYTIbRm3w4XB621nTy2oFW3qruoH/ETbTZyOXFqb47P5WkER8td30SwXPewNdarz/bMqVUu1Iq0390nwl0nOezWpRSh4C1wIsXXdoworXGPuymqXeIll4HzbYhOgdG/GHu/kiw9w27cHvPX0caFKNBdebUEmHEGhVBapwFi8kXkgowKIVSCqV87zf4n/tCGhT+qX/+qZ9h/J9r9PmY+ScrEY9H4/b6KhG3V+P1atxeLx6vxuMds8yjcbq9uMfM93h9r92ek/O8uD16dB2Xxzu67lQpy7TidHvZVN3O+0e7iDabiDYbibH4pr6HiRiLcXTZ2NcxZiMmGchMTJBAm3Q2AvcAj/inr5y5glIqB+jWWg8rpRKB1cC/Bbjdac/t8dLRP0Jz7zAtvcM02XzTk6+bbcMMOj2nvcegwBoVQfyYR3Zi1Gmvz3xYIyOItpwKdpNBhX1bsfZXJm6Pxunx4nR7cXlOPUbcXlweXwXhdHtxery4/PNG3B4GRtxsqvL1qjlTapyFJbkJuL169BtTm93BsNPDkNPDoNPNkNOD5yIqnRizryKOizRhjfRPT3sdgTXK5Jv6lyVGm0mKMWONNIX971ucEmjgPwI8r5T6EnACuANAKVUOfEVrfS8wF/hXpZTG9w3+p1rrAwFud9rQWtNuH6G61U6V/1HdYud4z9BH/ukToyPISogiPzmGS2enkJMYRVZCFNkJvmlyjFnuEToBlFK+phojRHFhvWG8Xs37R7v5474O3jjURr/DjTXSxDXzMrhhYSar56Rc8JDCWvsqmqERXwUw7PQw6PQwNOL2Tf2VwuCIm4ERN/ZhN/0OF3aHi36Hm86BEY51DWIf9r0+1zcWk0GREG0mKSaCpBhfJXCyMjjzdUqshZRYs3yjmMGUHu97dwgoLy/XFRUVwS7GRXF5vBzrHKSqtY/q1n6qWnwB3zN4qqNSblIUZZlW5qTFkp0QTVZCJDmJUWTGRxFjkevgQs3x7kH+sKeJP3zYTHPvMHEWE1fPy+BGf8ibTcENR601wy4P/Q43dv85G/uwC9uQk55B5+i0Z9CJbdBF9+AItiHf8vH+9Q0KUmItZMRHkm6NJMMaecZzC2nWSOIs8s0hVCml9mity8dbJgkTgL5hFzuOdvNeXRd7G23UtA/gdHsBMJsMlKTHsWFuOnMz4yjLiqc0Mw5rpJy0C3WDI25eP9DKC3ua2FXfg1KwtiiV71xXytVl6SHVR14p5W/7N13UYGker8Y+7KJ7TKXQ2T9Cu91BW5+DNruDE91D7KrvoW/Y9ZH3R5uNo5VBXlI0ecnRvqn/ER8VIRVCCJLAvwhOt5e9J2xsr/PdLajSf0u4aLORpXmJfP7SfMoyrZRlWSlMiZGvxtOI1ppd9T28sKeJ1w+0MuT0UJASwwPXlPDJpdlkxs+sLpRGgyIxxnxBNz4Zdnp8FYHdQbv/0dbnqxyae4fZXN1O14DztPfERZrIS4pmVnI0uUmnVwZZCVFyR60gkcA/B601tR0DvtvB1XbyQX0PQ04PBgWLchP42hVzWD0nhSV5iUH/ai8+nsERNy/tbeap9xuo7RggxmzkpoVZ3FGew7JZiXKUCkSZjeSnxJCfEnPWdQZH3DTahjjRPcSJnlOPw239bK7qwOnxjq4bYVQUpsRSnBFHcZpvWpIeR25StIwTNMkk8M+gtebDEzY27mvhL4faaLf7biZRmBLDbUtzWFOUwqrCZOKjpGlmOjvaOcBvdxznD3ua6B9xsyA7nh/fvpAbF2YSbZZ/i4sVYzFRmmGlNMP6kWVer/Y1EfkrgWOdg9S297P3hI0/VZ66BtNiMlCUHktxWpyvMkiPpTg9juyEKKl4J4j8ZeML+erWfjZWtvCnyhaae4exmAxcUZLGFaWprJ6TQk5idLCLKQLk8WrePtzBkzsa2FbbRYRRcePCLD53ySwW5yZIqEwSg0GR5e9ptqow+bRlgyNuajsGqGnrp6a9nyPt/bx/tJuX9jaPrhNnMbEgJ55FuQkszk1gSW6CDCj3MYV1L52GrkE2VrawsbKFuo4BjAbF2qIUbl6UxYaydOLkBOuMMOz08MyuEzzxXj1NtmEyrJF8dlUen1qeR2qcjCcfivqGXNR2+CqA6lY7lY19VLfaR7ugZsVHjlYAi3MTWJATL9/M/M7VSyfsAt/ucPHyh8384cMm9jf1AbAiP4mbFmdx/fwMuaHEDDI44ubpncf51bZjdA04WZGfxBdW57OhLF1OqE9DDpeHQy197D3RS2VTH/sabTT2+O4ZYFBQnB7HkrwElucnsaYohbS48PwWIIEPHGzu43cfHOePe1sYdnkoy7Ry65IsblyYJYNYzTD9DhdP7TjO49uOYRtysbYohW9cVcTy/KRgF01MsK6BESobe9k35tHvcAO+m7ivLUphTVEqK/KTiDKHTnfayRS2ge9weXh1fytP7zzOvsZeIiMM3Lwoi8+umsXCnIQJKqkIFX1DLn7zfj1PbK/H7nBzZWkaX79yDkvyEoNdNDFFvF7NoRY72+o62V7bRUWDDafHi9lkYHl+ImuLUlkzJ4WyTOuMvWo97AK/vmuQ3+08zgt7mugbdlGYGsNnV87itqU5MlrhDOR0e3ny/Qb+Y0st/SNuri5L5+tXFrEgJz7YRRNBNuz08EF9N9tru9hW28WR9n4AkmPMrClK4br5mawrSQ2pi+kCFVZX2jZ0DXLFT9/BZFBcMy+Du1flcUlhsvTAmIG01rx1uIMfvlZNfdcgV5Sk8sA1pZRlfbRroAhPUWYj60rSWFfiu1VHh93B9jpf+L9b08kr+1qItZjYUJbOTYsyWTMndUZfUzMjj/Cf2XWCq0rlXqAzWV1HP99/tZqtNZ0UpsbwDzeWcUXJuPffEWJcbo+XHce6ebWylT8fbMXucBMfFcG18zK4cVEmlxQmT8uT+2HXpCNmrr4hFz/fUsNTO44TbTbyt+uL+dwls+RSfREQp9vL9rpOXq1s5c2qdgZG3CTHmLluQQZ3LMtlUe70OecngS9mhG21nfzd85V0DYxw14o8/lJV1iAAABFmSURBVG5DsXSjFRPO4fLwzpFO/rS/hS3V7ThcXspnJfKlNQXTokuvBL6Y1kbcHn7ylyM8vr2eOWmx/PxTi5mfLSdkxeTrd7h4oaKJ37xfT2PPMNkJUXxhdT53Ls8N2ZFvJfDFtFXb3s83nt1Hdaudz10yi4eumxs2/alF6PB4NZuq2nnivXp21fcQYzZyR3kuX1idz6zksw8qFwwS+GLa0Vrz9M7j/PC1amItJn58+0Kumpse7GIJwYGmPp54r54/Vbbg0ZqbF2Xx4HWlITOEtgS+mFY8Xs3fv3SA5yoaubw4lZ/csTBsL5MXoavd7uA37zXwxHv1GJXia1fO4UtrCoLep18CX0wbTreXbz2/j9f2t/K1K+bwd1cXyzUUIqQ19gzxo9eq+cuhNvKSovmHG8tYPzctaH+35wr80D7dLMKKw+Xhy7+t4LX9rTx0XSnfvqZEwl6EvNykaH75V8t4+ksrsZgM3PdUBff8Zjd1HQPBLtpHSOCLkDAw4uaeJ3bxTk0nP/rEfL58+exgF0mIi7KmKIXXv7mWf7yxjL0nbFz371t5ZteJYBfrNBL4IujcHi/3PrmbiuM2fv6pxdy9clawiyTExxJhNPDFNQW8/e11XDo7hYdeOsA//7karzc0ms4l8EXQ/cdbdew81sO/3LaQWxZnB7s4QgQsJdbCr+8p57Or8vifd4/xN7//kGGnJ9jFksAXwfX+0S5+8VYtty3N4fZlOcEujhATxmQ08INb5vPdG+byl0Nt3PWrnXT0O4JaJgl8ETTdAyN867l9FCTH8P1b5gW7OEJMOKUU964t5H8+u4yatn5ue/R9egadQSuPBL4ImodeOoBt0MUvPrOEGMuMG6lbiFFXz8vgd/etpL1vhP/zYiXB6g4vgS+C4ljnAG9WtfPVK2YzL0vGxREz39K8RB66vpTN1R387/sNQSmDBL4IiucrmjAaFJ9ZkRfsoggxZT5/aT7r56bxz68f5mBz35RvXwJfTDmXx8uLe5q4Um5SI8KMUoof376IpBgzX39mLw7X1PbckcAXU+6twx2+Me2X5wa7KEJMuaQYM9+7eR71XYN8UN8zpduWwBdT7v26LmLMRi4vTg12UYQIisuKU4gwKnYc7Z7S7Urgiynn9GiizKaQv3OQEJMl2mxiUU4CO452Tel25T9OTDmvV2MyyKBoIrxdMjuZA8192B2uKdumBL6Ycm6vxiiBL8LcvCwrXs2UjqoZUOArpZKUUpuUUrX+aeI51rUqpZqVUv8ZyDbFzOD0eIN28YkQoaC+awiAwpSpu0VioEf4DwJbtNZFwBb/67P5AfBugNsTM8Dy/EQ6+0c42GwPdlGECJpDLX3kJEaREG2esm0GGvi3AE/6nz8J3DreSkqpZUA68GaA2xMzwHULMjEbDby8tznYRREiaA612JmXZZ3SbQYa+Ola61YA/zTtzBWUUgbgX4EHzvdhSqn7lVIVSqmKzs7OAIsmQlV8VARXzU1jY2ULbo832MURYsq12x3Udw1O+bAi5w18pdRmpdTBcR63XOA2vgq8rrVuPN+KWuvHtNblWuvy1FTpoz2T3bokm66BEd4+IhW7CD//70+HsJgM3LI4a0q3e94hCrXW68+2TCnVrpTK1Fq3KqUygY5xVrsEWKuU+ioQC5iVUgNa63O194sZbl1JKgUpMTz88gEW5yaQGmcJdpGEmBKbq9p5/UAbD1xTwqzkqTthC4E36WwE7vE/vwd45cwVtNZ3a63ztNb5wLeBpyTshcVk5L/vXord4eLrz3woTTsiLAyMuPnHVw5Skh7H/ZcVTvn2Aw38R4ANSqlaYIP/NUqpcqXU44EWTsxsczOt/NMnFrDzWA8/fbMm2MURYlJprfnRa1W02h380ycXEBGEK80DuuuE1robuGqc+RXAvePM/1/gfwPZpphZPrk0hz3Hbfzy3aMszInn+gWZwS6SEBPO5fHy0EsHeHFPE1++vJBls856ydKkkittRdD9401lLM5N4Gu//5Bfb6+XC7LEjDI44ua+pyp4cU8T31pfzIPXlgatLBL4IugsJiO/u3clG8rS+cGrVTzw4n5G3FM7TrgQk6FrYIRP/2onW2s6eeSTC/jm+iKUCt6wIhL4IiTEWEw8evcyvnlVES/uaeLTj+2ko98R7GIJ8bFVt9q57dH3qWnv51efK+euELi7mwS+CBkGg+JbG4p59O6lVLf2c/Mv3mPP8am9QYQQgRpyuvmn16u58RfbGRxx8/v7VnHV3PRgFwsI8KStEJPhugWZzEqO4b6nKrjt0R3cujiLB64tJTshKthFE+KcNlW1872Nh2juHebTK3L5zrWlUzpWzvmoUD1BVl5erisqKoJdDBFEAyNuHn2njl9tq0cB960t5CvrZhNrkeMUEVqae4f53sZDbKpqpyQ9jh99Yj7l+UlBKYtSao/WunzcZRL4ItQ12Yb4yRtHeGVfCymxFr59dTF3lOfKmPoi6LoHRnh65wn+Z+tRtIa/XV/EF9cUBKWP/UkS+GJG2HvCxg9fq2bPcRulGXF8/coirp6XHtR/LhGeatr7eWJ7PS/vbWbE7eXqsnT+8aYychKjg100CXwxc2itee1AKz/+yxFO9AyRGmfh08tzuWtFHlnSxi8mkderebe2kye217OttovICAOfXJrDF1fnMyctLtjFGyWBL2Ycj1fzbk0HT+88wdtHOlDAVXPT+atVs1gzJwWDNPeICTLs9PDS3iae2F7P0c5B0uIs3HNpPp9ZkUdiTOickD3pXIEvZ7/EtGQ0KK4sTefK0nQae4b4/a4TPL+7kU1V7eQnR3P3ylncviwnJP8hRegbdnp450gHrx9s463qdgadHuZnW/nZpxZxw4IszKbp2YwoR/hixhhxe/jLwTae3nmc3Q02jAbFyoIkri5LZ8O8DOnWKc5p2Onh7SMdvHaglbcPdzDk9JAUY+aaeRl8Ykk2y/MTg3qV7IWSJh0Rdg632dm4r4U3q9qp6xgAoCzTytXz0tlQlk5ZpnVa/POKyTXkdPP24U5eP9DKW4c7GHZ5SI4xc838DG5YkMnKgiRM06xTgAS+CGv1XYNsqmrjzUPt7DlhQ2vITohiQ1k6V5els7wgSXr6hAm3x8v+5j52Hutmx9Fudjf04HB5SYn1HcnfsCCTFdMw5MeSwBfCr2tghLeqO3izqp1ttZ2MuL1Em40szUukPD+R5flJLM5NIEYu7poRPF7NoZY+dhztZsexbnbX9zDo9A3MV5wey6WzU7h6XjorC5JnzHUdEvhCjGPI6WZbbRfv13Wxu8HG4TY7Xu07IVyWaR2tAMpnJZJmjQx2ccUFcLq91LT3jx7B76rvoX/EDcDs1BgumZ3MJYUprCxMIiV2Zt5WUwJfiAvQ73Cx90QvFQ097G6wsbfRhsPlu/ViXlI05fmJLM1LpCQjjuK0OOKjI4Jc4vDWNTBCdavd/+inutVOXccAbq8v0wpSYlhVmMyqwiQuKUwOm0pbAl+Ij8Hl8XKoxe6vAHqoaLDRPegcXZ4WZ6E4PY6i9FiK0+NGn1sjpSKYSC6Pl2Odg6fCvc0X7p39I6PrZFgjmZsZx9xMK3P9384y48OzV5YEvhATQGtNc+8wte0D1LT3c6S9n9r2AWo7+ke/CQBkxkdSlB5HcVosRemx5CRGkxEfSVZ8FFFmYxB/gtCktaZzYIQm2zCNPUM02YZpsg3R2OObNvcO4/L4cspsNDAnLdYf7HGUZVopzbSSJNdbjJILr4SYAEopchKjyUmM5orStNH5Xq+myTZMTXs/NR391LT1U9M+wM5j3Tjd3tM+IyE6ggxrJFkJUWTGR/ofUWQm+KfxkURGzJxKweXxYhtyYht00TPopHtwhJbeYRp7hmm0nQr3sRUmQHKMmZykaOZlx3Pt/ExKMnwhPzs1VnpUBUACX4gAGQyKvORo8pKjWV926kYXHq+myTZES6+D1r5hWvv8014HrX0O9p6wYRtyfeTzEqMjSIw2ExcVgTXShDUqgvioCKyREVijTP7pqWUn58daTJgMBkwGFfDQElprRtxe/8PDiMs3dbhOzRsc8WAbdNI96MQ25KRn0Ilt0EnPkHN0fr/DPe7nWyNN5CZFMyc1lnXFqeQmRZOTGDU6jTZLNE0G2atCTBKjQTErOYZZyTFnXWfY6aHN7qC1d0yF0Oegb9iF3eGmb9hFs20Yu8NF37BrtGnjQpgMCqNBnZoaDRjU2NdqtCviyJggH3F7P/LN5HzMJgPJMWYSo80kx5rJTYwmyf86KSaCpBgLiTERJMWYyYyPIj5KznMEgwS+EEEUZTZSkBJDQcrZK4WTTh5124dd/grAjd3h8r92M+Bw49Uat0fj8XpxezUerfF4tO+51zf1ek++9q2jgUiTEUuEAYvJgMVk9E0jxjw3GbBEjHluMhJjMZIUYyYpxkxUhFGuXJ4GJPCFmCaUUkRGGImMMIZNF0MxseTshxBChAkJfCGECBMS+EIIESYk8IUQIkxI4AshRJiQwBdCiDAhgS+EEGFCAl8IIcJEyI6WqZTqBI4HuxwXIQXoCnYhQozsk/HJfvko2Scf9XH3ySytdep4C0I28KcbpVTF2YYkDVeyT8Yn++WjZJ981GTsE2nSEUKIMCGBL4QQYUICf+I8FuwChCDZJ+OT/fJRsk8+asL3ibThCyFEmJAjfCGECBMS+EIIESYk8C+CUipJKbVJKVXrnyaeZb17/OvUKqXuGTP/HaXUEaXUPv8jbbz3TwdKqWv9P0udUurBcZZblFLP+Zd/oJTKH7PsIf/8I0qpa6ay3JPp4+4TpVS+Ump4zN/FL6e67JPlAvbJZUqpD5VSbqXU7WcsG/f/aLoLcJ94xvydbLzojWut5XGBD+DHwIP+5w8C/zLOOknAMf800f880b/sHaA82D/HBOwHI3AUKATMQCVQdsY6XwV+6X9+F/Cc/3mZf30LUOD/HGOwf6Yg75N84GCwf4Yg7ZN8YCHwFHD7mPln/T+azo9A9ol/2UAg25cj/ItzC/Ck//mTwK3jrHMNsElr3aO1tgGbgGunqHxTZQVQp7U+prV2As/i2zdjjd1XLwJXKd9NT28BntVaj2it64E6/+dNd4Hsk5nqvPtEa92gtd4PnHnX9Jn6fxTIPgmYBP7FSddatwL4p+M1yWQDjWNeN/nnnfQb/9exf5jG/+zn+xlPW0dr7Qb6gOQLfO90FMg+AShQSu1VSr2rlFo72YWdIoH8rsP57+RcIpVSFUqpnUqp8Q44z0luYn4GpdRmIGOcRQ9f6EeMM+9k39e7tdbNSqk44A/AX+H72jbdnOtnPN86F/Le6SiQfdIK5Gmtu5VSy4A/KqXmaa3tE13IKRbI7zqc/07OJU9r3aKUKgTeUkod0FofvdA3yxH+GbTW67XW88d5vAK0K6UyAfzTjnE+ognIHfM6B2jxf3azf9oP/J7p25Rx1p9xvHWUUiYgHui5wPdORx97n/ibt7oBtNZ78LXxFk96iSdfIL/rcP47OSut9cksOYbvnOCSi9m4BP7F2Qic7C1wD/DKOOu8AVytlEr09+K5GnhDKWVSSqUAKKUigBuBg1NQ5smwGyhSShUopcz4TkCe2WNg7L66HXhL+846bQTu8vdYKQCKgF1TVO7J9LH3iVIqVSllBPAfuRXhO0k53V3IPjmbcf+PJqmcU+lj7xP/vrD4n6cAq4Gqi9p6sM9aT6cHvvbWLUCtf5rkn18OPD5mvS/iOxlZB3zBPy8G2APsBw4B/8407p0CXA/U4Dsafdg/7/vAzf7nkcAL/n2wCygc896H/e87AlwX7J8l2PsEuM3/N1EJfAjcFOyfZQr3yXJ8R72DQDdwaMx7P/J/NBMeH3efAJcCB/x/JweAL13stmVoBSGECBPSpCOEEGFCAl8IIcKEBL4QQoQJCXwhhAgTEvhCCBEmJPCFECJMSOALIUSY+P9uZo0V6j2VAwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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ya2uD94YgczLjcdiEfA0GNQIVVnuCYXKqBkMg80UwDHTy5Kmebn/KyxpjVhljco0xuSkpKadc3GgTEWpnVmYc7+6r0VspqhGnsKaViBA76XER/i5FecEXwVABjOszngkcHoZlg9YteVnsO9LKO/tq/F2KUscpqmljUmo0NptebBPIfBEMW4DJIpIjIqHATcDqU1z2LeBSEUmwDjpfak1TJ3DtvAwyEyL43TtFutWgRoz27l4KyhqZnRnn71KUl7wOBmNML3A3ni/0vcDzxpjdIvKAiFwNICILRaQCuBH4k4jstpZtAH6CJ1y2AA9Y09QJhNhtfGPpJHaUN7G+sM7f5SgFwJu7jtDR4+Jz8071EKMaqSQQ1zhzc3NNfn6+v8vwq55eN0t++S7p8RG8cOciRPvJUH52yyObqGzq5L3vLtG/xxFKRAqMMbkna6dXPgeoUIeNO5dMJL+skTd2HfF3OSrIVTZ1srG4nuvmZWoojAIaDAHs5rwsZmfGcd/Ln1DV3OnvclQQe2VbJcagu5FGCQ2GABZit/Hbm+bhdLn59nM7cLkDb7egCnzt3b08vqGURROSyEqK9Hc5ygc0GAJcTnIU/3H1TDYW17NqfbG/y1FB6E/ri6lt7eaeFVP9XYryEQ2GUeDGBZlcMSuNX/1zPzsrtIM9NXyONHexav1Brpidxvws7eZstNBgGAVEhJ99bhapMWHc/kQ+JXXt/i5JBYlfr92P2w3fXz7N36UoH9JgGCXiIkN47Kt59LoNN6/aRKmGgxpiew638EJBBSvPHa/HFkYZDYZRZOrYGJ75l7Pp7nVx8yObOFTf4e+S1CjV3t3Lvz27jYTIUO5eOtnf5Sgf02AYZaaNjeWvt59Dp9MTDuUNGg7Kt4wxfO+lnRysbeN/bp5HXKTee2G00WAYhWakx/L0bWfT2uXk5kc2UVTT6u+S1Cjy5w9LeG1nFfcsn8Z5k5L9XY4aAhoMo9RZGXGeLYceF1f//iNe3V7p75LUKLCpuJ6H3tjHipljufPCCf4uRw0RDYZRbFZmHK99czEz02P5t2e38+NXdtHdq/fiVWemvKGDu5/ZSnZSJL+8cbZ2fTGKaTCMcmPjwnnmX87hjgsm8NSmMm7840Y97qBOW2VTJzc/sgmny/CnLy/QezqPchoMQSDEbuMHl0/nj19aQEltO1f+z4e8qR3vqVNU1dzJLY9sornTydO3nc2k1Bh/l6SGmAZDEFlx1ljWfPN8MuIjuPPpAm59bDMHrZu3KzWQ6pYubnnkY+rbenjya3nM0pvwBAUNhiAzPimKV75xHj+6YjoFpY0s/816HnxtDy1dTn+XpkaYmtYubn5kEzUtXTzxtYXM0y4vgoYGQxAKddi4ffEE3vnuEq6fn8mjH5Zw0X+/x/NbynFrD60KKKpp5fN/3EhVUxePfTWPBeMT/V2SGkY+CQYRWSEi+0WkSETuHWB+mIg8Z83/WESyrenZItIpItutxx99UY86NSkxYfzihtms/sb5jE+K4nsv7eTa//2I9/bX6L2kg9i7+2v43B820Nbdy9O355GXo6EQbLy+taeI2IEDwCVABZ57N99sjNnTp81dwGxjzJ0ichPwOWPMF6yAWGOMOet0XlNv7el7xhhe3X6YX7y5j6rmLqaNjeFfFk/gqjnphDp0wzIYGGN49IMSHnpjL9PGxvLIylwy4iP8XZbyoeG8tWceUGSMKTbG9ADPAtf0a3MN8IQ1/CKwTPQk6BFFRLh2Xgbv37OUX904B2PgOy/s4IL/epdV6w/SqscgRrUup4vvvrCTB1/fy4qzxvLi1xdpKAQxXwRDBlDeZ7zCmjZgG2NML9AMJFnzckRkm4i8LyKLB3sREblDRPJFJL+2ttYHZauBhDpsXL8gkze/tZjHvrqQnOQofvb6Ps596B0een0vh5v0FqKjzaH6Dm5+ZBMvba3gWxdP5vc3zycy1OHvspQf+eK3P9Caf//9U4O1qQKyjDH1IrIAeEVEZhpjWj7T2JhVwCrw7ErysmZ1EiLC0qmpLJ2ayicVzfxp/UEe+aCYVR8Uc97EZK5fkMHymWP1CySAGWP42+ZyfvraHuwi/L8vzueyWWn+LkuNAL74r64AxvUZzwQOD9KmQkQcQBzQYDwHOLoBjDEFInIQmALoAYQRZFZmHL+/ZT7lDR28UFDBy1sr+PfndhAVuovLZqVx3fwMzslJwmbTvYOBoqali++9tJP39tdy3qQk/uuGObrrSB3ji4PPDjwHn5cBlXgOPt9ijNndp803gFl9Dj5fZ4z5vIik4AkIl4hMAD6w2jWc6DX14LN/ud2GLaUNvLy1ktc+qaKtu5eM+Ag+Ny+Dq+emMzk1WvvRGcH+seMwP351F11OF/eumMZXFmVrqAeJUz347HUwWC92OfAwYAf+Yox5UEQeAPKNMatFJBx4CpgHNAA3GWOKReR64AGgF3AB9xtj/nGy19NgGDk6e1z8c88RXt5ayQeFtbgNZMRHsGRqCkunpnLupCTd3TRCVLd08cCaPby2s4q54+L59efnMCEl2t9lqWE0rMEw3DQYRqbqli7W7a3h3f01fFRUR0ePi1C7jbMnJLJkaipLp6aQkxylWxPDrLvXxWMflfI/6wpxugzfXDaJOy+ciMOupyEHGw0G5VfdvS7ySxt5d58nKA7Weu5BnZUYydk5icwfn8D8rAQmp0brbowh9O6+Gh5Ys4eSunYumTGGH10xnfFJUf4uS/mJBoMaUcobOnhvfw3vH6iloKyRxg7PdRExYQ7mZsUzPyuB+eMTmDsunrgI7dLZWyV17fxkzR7e2VfDhJQo7r9qJhdOSfF3WcrPNBjUiGWMoaSuna2Hmth6qJGtZY0cqG7FbUAEJqVEMz0tliljopmUGsOUMdGMT4rCrlsWJ1Xb2s0f3z/IkxtLCXPY+bdlk1l5brZeva6AUw8GPSqohp2IMCElmgkp0dywIBOA1i4nO8qb2Xqoke3lTRSUNbJ6x6dnPYc6bExIjmLKmJhjgZGTHEVGQgTRYfpnXN/Wzar1xTyxsZSeXjc3LMjku8unkhoT7pOfb4yhx+Wmy+mmy+mis8dFV6+LbqebHpfbenbR0+umu9d93LPT5cZtwGA4uh56dIXUGM8FTcZaKQix2wixC2EOmzVsI8RhI9RuI9QhhNhtRITYiQkPISbcQXS4g+hQh+6O9DHdYlAjVlt3L0U1bRRWt1JY08aB6lYKq9uo7Hf1dVxECOnxEWTER5CZEEF6fDgZ8ZFkJESQHhdOQlQoIaP0QGtjew+PfFDM4xtK6XK6uHZuBndfNIkxseG0dfd6Hl29tHf30trteW7vcdHRd7inl/ZulzXeS0ePi44e68vf6Xl0Ol2M1I53RSA61BMSMeEOosMcxISHkBQdSmpMOKkxYaTGhpEaE05KTBipMWFEBenKhO5KUqPW0cA41NBBZWMnh5s6qWzqpLLR89zW3fuZZWLCHMRHhZAQGUp8ZCgJkUeHQ0iMCiUm3EG4w054yNGHjfAQOxH9xh02wSZy2muobreh121wuQ0uY3C5DE63Z6262+nyPFvDXf2mdTqtL/KjX+g9vVQ2dbH+wGe7hokJc9DW08up/ltHhdqJDHN4nkM9X6qRYXYiQ+3Hvf+IEDsRoXbCHDYiQj+dHuawEeqwEeawE3pszd5GmPUItdb8bSIcPRlNBASxno9OE4wxOF2eLROn9Ti6xdHT65neY30erV1O2rp6ae3yBF5rl5PWLk8ItnY7aenspb6tm9q2bpyuz34YUaF2UmPDGRMbxvjEKMYnR5KdFMX4pEjGJ0WN2q1Q3ZWkRq3oMAdzx8Uzd1z8gPObO53HAqOquZPGDieNHT00dThpaO+hqaOH0rp2Gjt6aO36bIicKpvgCQkRbLZPh0U+GwS+WP8SYcCfkxEfwZxxcUSHOYgKcxBjPUeFedago6y16ehj0+1EhTqICLGPsF0wgsMOEdh99hPdbkNTp5Pa1m5qWruoafGERU2LZ7yquYt1+2qoa+s+brnk6DCykyLJSvIExtSxMcxIiyUzISIoTrfWLQYV1Hpdbpo6PWubR3ebHN2P3uX07Efv7HEfG3a5PF/0buPZT+42Bpf702G3Abcx2EWw2wW7CA6bYLfZsNvAbrNZ44LDLoQ77ISFHF3D9qyBh1lr4uEh1rQQG9sONfHMx4d4/0AtoQ4b18xJ57bFOUwbG+vvj3BUaOvupay+nbL6DuvRTqk1XtXcdaxdTLiD6WmxzEiLZUa653nymGjCHL4Ls6GkWwxKnQKH3UZydBjJ0WH+LuUzOntcvLytgsc+KqWopo2UmDC+fckUbjk7a0TWG8iiwxzMTI9jZvpn72nd0dPLgeo29hxuYU9VM3sOt/DclnI6nS4AHDZhUmo0czLjyctJJC8nMeC3LHSLQakRZt+RFp7dXM7ft1XS3OnkrIxYvnZeDlfMTguYNdPRzuU2lNW3s7eqlT1Vzew+3MLWskZarF2TaXHhLMz2hMTZOYlMGiH9h+kWg1IBpLXLyT92VPFcfjk7ypsItdu4ZOYYbj03m9zxCSPiS0V9ym779JTrK2Z7uip3uw37q1vZUtrAxyUNbCquP3bKdUJkCAuzE1k8OZml01LJTIj0Z/knpVsMSvmJMYaCskae21LOmp1VdDpdTBkTzRcWZvG5eRkkRoX6u0TlBWMMZfUdbC5tYEtJA5tK6ilv8JxqPWVMNBdNG8NF01KZnxU/bP1W6emqSo1QRTWtrNlZxeodhymubScq1M5Vc9L5wsJxzB0Xr1sHo5QxhuK6dt7dV8M7+2rYXNJAr9sQFxHCBVNSWDYtlQunpJAwhCsEGgxKjSAlde28tvMwa3ZWse9IKyKQl53I9fMzuWJ2WtBecBXMWrqcfFhYxzv7anhvfw11bT3YbcLiyclcMzedS2aM9fn1FBoMSvlZeUMHa3ZWsWbnYXYf9tytNnd8AlfOTuOyWWmMifVNdxUq8Lndhp2Vzbyxq4o1O6qobOokPMTGJTPGcs2cdC6YkuKT/q40GJQaZm63YdfhZt7eU83avTXsrfKEwdxx8Vw5O43LZ6WRrrfPVCfhdhsKDjXy6vZKXttZRWOHk7iIEC6flcY1c9PJy0484wsTNRiUGgZdThcbD9azdm816/ZWU93SjU0gd3wiF89I5bKz0hiXOLLPQFEjl9Pl5sPCOl7dXsk/91TT0eNi9d3nMTtz4Kv+T2ZYT1cVkRXAb/Hc2vNRY8zP+80PA54EFgD1wBeMMaXWvPuA2/Dc2vObxpi3fFGTUkPlSLOnn6J1+6r5oNBzp7rIUDsXTknh4uljWDotVc8oUj4RYrexdFoqS6el0tHTy/oDdczK+OxFeL7mdTCIiB34A3AJUAFsEZHVxpg9fZrdBjQaYyaJyE3AL4AviMgM4CZgJpAOvC0iU4wxLm/rUspXjt6N7v0Dtby/v5b91a0AjI0N57r5GVw8fQznTEgiPEQvPlNDJzLUwYqzxg7La/liiyEPKDLGFAOIyLPANUDfYLgG+A9r+EXg9+I5J+8a4FljTDdQIiJF1s/b6IO6lDojxhhK6ztYf6CW9w/UsvFgPZ1OFyF2YWF2IvfNn8YFU1KYNjZGTy1Vo5IvgiEDKO8zXgGcPVgbY0yviDQDSdb0Tf2WzRjoRUTkDuAOgKysLB+UrdSnjjR3sbG4jg1F9Ww4WH/sng/ZSZHcmJvJhVNSOGdCkp5WqoKCL/7KB1pl6n9Ee7A2p7KsZ6Ixq4BV4Dn4fDoFKtVfQ3sPm4rr2XCwjg0H6ymubQcgPjKERROSuPPCCSyenEJ2cpSfK1Vq+PkiGCqAcX3GM4HDg7SpEBEHEAc0nOKySnmttrWbLaUNbC7x9GNz9FTSqFA7Z09I4pa8LBZNTGL62NgRdo8CpYafL4JhCzBZRHKASjwHk2/p12Y1sBLPsYMbgHeMMUZEVgPPiMiv8Rx8ngxs9kFNKogZY6ho7GRzScOxMCiu82wRRITYmT8+nnuWT2XRxCRmZcSN2tt+KnWmvA4G65jB3cBbeE5X/YsxZreIPADkG2NWA38GnrIOLjfgCQ+sds/jOVDdC3xDz0hSp6vX5WbfkVa2Hmokv7SRLaUNx26uEhvuIC8nkZvyxrEwOwvnuWoAABPjSURBVJGzNAiUOim9wE0FnKaOHrYeamRrWRMFZY3sqGiio8ezPpEaE8ZCqw/8vJxEpqTG6K4hpSx6PwY1KrjdhuK6NgrKGo89DloHiu02YUZaLJ/PHcf88QnMz4onIz6w75yl1EigwaBGlPbuXnZUNLHVCoGth5po7nQCnpudLBifwHXzM1kwPoHZmXFEhuqfsFK+pv9Vym+OHiT27BZqpOBQI3urWnG5Pbs3J6dGc/mssczPSmDB+ARykqN0a0CpYaDBoIZNl9PFJ5XNbC1rZOuhRgrKmqhr6wYgMtTO3HHx3LVkome30LgE4iJD/FyxUsFJg0ENmbq2bvJLG9hc4tka2HO4GafLszUwPimSxZOTmZ8Vz/zxCUwdEzNstzdUSp2YBoPyCWMM5Q2dx+5vu6Ws4djVxGEOG3PGxXPb+ROOBUFydJifK1ZKDUaDQZ0RYwwHa9vYWNzAx8X1bCltoLrFs1soNtzBwuxEPp/ruXZgVkacT+4+pZQaHhoM6pT0DYJNxfV8XFxPXVsP4Ol+Oi8nibzsBBbqtQNKBTwNBjUgYwzFde1sOFg/YBAsnpzCORMSWTQhmXGJeu2AUqOJBoM6pqG9h4+K6viwsI4PCms5bHUr0TcIzpmQRFZipAaBUqOYBkMQ6+51UVDWaAVBHbsON2MMxIQ7OHdiEnctncR5k5LJTtIgUCqYaDAEmdrWbt7ZV83aPTV8VFRHp9OF3SbMz4rnW8umsHhKMrMz4vTUUaWCmAbDKGeM4UB1G2/vrWbtnmp2VDRhDKTHhXP9ggwunJLKORMSiQnXi8mUUh4aDKOQy234uKSetXuqeXtvNeUNnttUzs6M498vnsKy6anMSIvV3UNKqQFpMIwSbrchv6yRNTsP8/onR6hr6ybMYeO8Scl8/cJJLJueypjYcH+XqZQKABoMAcztNmwrb2TNzipe/6SK6hZPGFw0LZUrZ6ezdFqK9j6qlDptXn1riEgi8ByQDZQCnzfGNA7QbiXwI2v0p8aYJ6zp7wFpQKc171JjTI03NQWD/UdaeWlrBWt2HOZwcxehDhtLpqRwxew0Lp4+hqgwDQOl1Jnz9hvkXmCdMebnInKvNf79vg2s8LgfyAUMUCAiq/sEyBeNMXo7tpNo6XLyjx2HeT6/gh3lTYTYhQsmp3DPiqlcPH2MHjxWSvmMt8FwDbDEGn4CeI9+wQAsB9YaYxoARGQtsAL4m5evPeq53YZNxfU8n1/OG7uO0N3rZtrYGH585QyunZtOknZEp5QaAt4GwxhjTBWAMaZKRFIHaJMBlPcZr7CmHfWYiLiAl/DsZhrwJtQicgdwB0BWVpaXZY9sdW3dPPPxIZ7PL6eisZOYcAefzx3H53PHcVaGnk2klBpaJw0GEXkbGDvArB+e4msM9C129Mv/i8aYShGJwRMMXwaeHOiHGGNWAasAcnNzBwyPQHegupU/f1DC37dX0tPr5rxJSdyzfCrLZ44lPMTu7/KUUkHipMFgjLl4sHkiUi0iadbWQhow0IHjCj7d3QSQiWeXE8aYSuu5VUSeAfIYJBhGK2MMHxTW8eiHJaw/UEt4iI0bF2TytfNzmJgS7e/ylFJByNtdSauBlcDPredXB2jzFvAzEUmwxi8F7hMRBxBvjKkTkRDgSuBtL+sJGN29Ll7ZVsmfPyzhQHUbKTFh3LN8KrfkZZEQFerv8pRSQczbYPg58LyI3AYcAm4EEJFc4E5jzO3GmAYR+QmwxVrmAWtaFPCWFQp2PKHwiJf1jHhOl5sXCyr4n3WFHG7uYkZaLL+6cQ5XzkkjzKG7i5RS/ieDHOsd0XJzc01+fmCd4epyG1bvqOThtwspq+9g7rh4vnPpFM6flKwHk5VSw0JECowxuSdrp1dCDTFjDG/uOsKv1x6gsKaN6Wmx/HllLhdNS9VAUEqNSBoMQ2jDwTp+9vpedlW2MDElij/cMp/Lzhqrt71USo1oGgxDoKaliwdf38ur2w+TmRDBr26cw7XzMrBrICilAoAGgw/1utw8tamMX//zAN29br65bDJ3LZmo1yAopQKKBoOPFJQ18uNXdrGnqoULpqTwn1fPJCc5yt9lKaXUadNg8FJ7dy8/fW0vf9t8iLGx4fzvFz3HEfTAslIqUGkweGH34Wb+9W/bKKlr5/bzc/jWJVOI1i6vlVIBTr/FzoAxhic3lvHga3uJjwzhr7edzbmTkv1dllJK+YQGw2lqbO/hey/tZO2eapZOTeG/b5yj3V8rpUYVDYbTUFDWwN3PbKOurZsfXTGd287P0WMJSqlRR4PhFL256wjffHYbaXHhvPz185iVGefvkpRSakhoMJyCv35cxo9f2cXszHj+cutCErX3U6XUKKbBcALGGB5+u5Dfritk6dQU/vDF+USG6kemlBrd9FtuEC634Uev7OJvmw9xw4JMHrpuFiF2m7/LUkqpIafBMABjDPe8sIOXt1Vy15KJ3LN8qh5kVkoFDQ2GATz8diEvb6vk25dM4ZvLJvu7HKWUGla6b6Sfv2+r4LfrCrlhQSb/etEkf5ejlFLDzqtgEJFEEVkrIoXWc8Ig7d4UkSYRWdNveo6IfGwt/5yI+PV0n80lDXz/xU9YNCGJn31ulu4+UkoFJW+3GO4F1hljJgPrrPGB/BL48gDTfwH8xlq+EbjNy3rOWEldO3c8lU9mYgR//NICQh26MaWUCk7efvtdAzxhDT8BXDtQI2PMOqC17zTxrI5fBLx4suWHmtPl5ht/3YoAj926kLjIEH+UoZRSI4K3wTDGGFMFYD2nnsaySUCTMabXGq8AMgZrLCJ3iEi+iOTX1taeccEDWbW+mD1VLTx03WzGJ+k9FJRSwe2kZyWJyNvA2AFm/dDL1x5oB74ZrLExZhWwCiA3N3fQdqerqKaN364r5PJZY1lx1kBvUymlgstJg8EYc/Fg80SkWkTSjDFVIpIG1JzGa9cB8SLisLYaMoHDp7G819xuw/df2klEiJ3/uHrmcL60UkqNWN7uSloNrLSGVwKvnuqCxhgDvAvccCbL+8JTm8o8t+S8cgapMeHD+dJKKTVieRsMPwcuEZFC4BJrHBHJFZFHjzYSkQ+AF4BlIlIhIsutWd8Hvi0iRXiOOfzZy3pOWWePi1+vPcDiyclcP3/QQxtKKRV0vLry2RhTDywbYHo+cHuf8cWDLF8M5HlTw5lavaOS5k4ndy+dpNcrKKVUH0F5sr4xhic2lDFtbAx5OYn+LkcppUaUoAyGgrJG9lS18JVF2bq1oJRS/QRlMDy5sYyYcAfXzkv3dylKKTXiBF0wtHX38sauKq6fn6k33VFKqQEEXTBsLqnH6TJcMmOMv0tRSqkRKeiC4aOiekIdNhaMH7AjWKWUCnpBGAx15I5PIDzE7u9SlFJqRAqqYKhr62bfkVbOm5Ts71KUUmrECqpgyC9tBGDRxCQ/V6KUUiNXUAVDbVs3AJkJEX6uRCmlRq6gCobmjh4A4iL0RjxKKTWY4AqGTicRIXbCHHrgWSmlBhNUwdDU4SReb9uplFInFFTB0NzpJDZcg0EppU4kqIIhPMROV6/L32UopdSIFlTBkBwdRl1rt7/LUEqpES2ogiElJoz2HhcdPb3+LkUppUYsr4JBRBJFZK2IFFrPA3ZAJCJvikiTiKzpN/1xESkRke3WY6439ZxMcnQoAHWtPUP5MkopFdC83WK4F1hnjJkMrLPGB/JL4MuDzLvHGDPXemz3sp4TSo4JA6CmtWsoX0YppQKat8FwDfCENfwEcO1AjYwx64BWL1/La5NSogHYU9Xi50qUUmrk8jYYxhhjqgCs59Qz+BkPishOEfmNiIQN1khE7hCRfBHJr62tPaNixyVGkpkQwYai+jNaXimlgsFJg0FE3haRXQM8rvHB698HTAMWAonA9wdraIxZZYzJNcbkpqSknPELLpqQxKaSetxuc8Y/QymlRrOT3tvSGHPxYPNEpFpE0owxVSKSBtSczosf3doAukXkMeC7p7P8mTh3UhIvFFSw90gLM9PjhvrllFIq4Hi7K2k1sNIaXgm8ejoLW2GCiAie4xO7vKznpBZN8NyLQXcnKaXUwLwNhp8Dl4hIIXCJNY6I5IrIo0cbicgHwAvAMhGpEJHl1qy/isgnwCdAMvBTL+s5qbFx4UwbG8Mr2ysxRncnKaVUfyfdlXQixph6YNkA0/OB2/uMLx5k+Yu8ef0z9ZVF2fzg75+wpbSRvJxEf5SglFIjVlBd+XzU5+ZlEB8ZwuMbSvxdilJKjThBGQwRoXZuWpjFW7urqWzq9Hc5Sik1ogRlMAB8edF4AJ7cWOrXOpRSaqQJ2mDIiI/g8llpPLGhlPKGDn+Xo5RSI0bQBgPADy6fhsNm44ev7NIzlJRSyhLUwZAWF8E9y6ey/kAtr24/7O9ylFJqRAjqYAD40jnjmTsungfW7KGxXbvjVkqpoA8Gu0146LpZtHQ6+cmaPf4uRyml/C7ogwFgelosdy2ZyMvbKvUsJaVU0NNgsPzbxVNYNi2V//zHHtYfOLNuvZVSajTQYLDYbcJvb57H5NRovvHXrRTV+P2+Qkop5RcaDH1Ehzl4dGUuYSF2vvZ4Pg16MFopFYQ0GPrJTIhk1VcWcKSlizufKqC71+XvkpRSalhpMAxgflYC/33jHCamRmMT8Xc5Sik1rLzqdns0u3pOOlfPSfd3GUopNex0i0EppdRxNBiUUkodx6tgEJFEEVkrIoXWc8IAbeaKyEYR2S0iO0XkC33m5YjIx9byz4lIqDf1KKWU8p63Wwz3AuuMMZOBddZ4fx3AV4wxM4EVwMMiEm/N+wXwG2v5RuA2L+tRSinlJW+D4RrgCWv4CeDa/g2MMQeMMYXW8GGgBkgREQEuAl480fJKKaWGl7fBMMYYUwVgPaeeqLGI5AGhwEEgCWgyxvRasyuAjBMse4eI5ItIfm2tdlmhlFJD5aSnq4rI28DYAWb98HReSETSgKeAlcYYt7XF0N+gd8sxxqwCVgHk5ubqXXWUUmqInDQYjDEXDzZPRKpFJM0YU2V98dcM0i4WeA34kTFmkzW5DogXEYe11ZAJ6N1ylFLKz7y9wG01sBL4ufX8av8G1plGfweeNMa8cHS6McaIyLvADcCzgy0/kIKCgjoRKfOy9qGQjCfwApXW71+BXj8E/nsY7fWPP5UfIt7c61hEkoDngSzgEHCjMaZBRHKBO40xt4vIl4DHgN19Fr3VGLNdRCbgCYVEYBvwJWNM9xkX5Gcikm+MyfV3HWdK6/evQK8fAv89aP0eXm0xGGPqgWUDTM8HbreGnwaeHmT5YiDPmxqUUkr5ll75rJRS6jgaDL61yt8FeEnr969Arx8C/z1o/Xh5jEEppdToo1sMSimljqPBoJRS6jgaDKfpFHuUHS8iBSKy3epV9s4+8xaIyCciUiQivxvkCnB/13+iHnEfF5ES671tF5G5AVa/X3v0PZX6rXZvikiTiKzpN92vn79Vg7fvIVB+ByutNoUisrLP9PdEZH+f38EJuwLyYd0rrNctEpHPdFgqImHW51lkfb7ZfebdZ03fLyLLT/pixhh9nMYD+C/gXmv4XuAXA7QJBcKs4WigFEi3xjcDiwAB3gAuG4H1TwEmW8PpQBUQb40/Dtwwwj//E9X/PHCTNfxH4OsjrX5r3jLgKmBNv+l+/fx99B5G/O8Az7VVxdZzgjWcYM17D8gd5prtePqYm2B9v+wAZvRrcxfwR2v4JuA5a3iG1T4MyLF+jv2Er+fPP7BAfAD7gTRrOA3Yf5L2SXgu/ku32u/rM+9m4E8juX6r3Y4+X7T+DoYzrh9PGNcBDmv6IuCtkVo/sGSEBsMZv4dA+R30/98E/gTcbA37IxiO+5yA+4D7+rV5C1hkDTusz1n6t+3bbrCH7ko6fafUo6yIjBORnUA5njWSw3h6j63o0+yEPcoOEW96xD3qQWsXzW9EJGzoSh3QsPXoO0ROq/5B+PPzB+/eQ6D8DjLw/O8e1b/Ox6zdSD8ept3BJ6vnuDbW59uM5/M+lWWP421fSaOS+KBHWWNMOTBbRNKBV0TkRTzp/ZmmZ1bl4HxRv/VzjusR15p8H3AEz5ftKuD7wANnXu2ArzsievQ9U76qfxBD/vnDkL6HQPkdnKjOLxpjKkUkBngJ+DLw5OlXeVpO5XMbrM1pf+YaDAMwPuhRts/POiwiu4HFwEd4epE9akh6lPVF/TJwj7hH17AAukXkMeC7Piz96GsEdI++vvz7GeBnD/nnb73OUL2HQPkdVODZDXZUJp5dSBhjKq3nVhF5Bk+3PkMdDBXAuH719P/cjrapEBEHEAc0nOKyx9FdSafvaI+yMHiPspkiEmENJwDn4dmPWQW0isg51trrVwZafoidSv0D9ohrzUuzngXPHfd2DWm1n3XG9RvPDtajPfoOuvwQO2n9JzICPn/w4j0E0O/gLeBSEUmw/ocvBd4SEYeIJAOISAhwJcPzO9gCTLbO6ArFc3B5db82fd/XDcA71ue9GrjJOmspB8/xts0nfLXhPIAyGh549tmtAwqt50Rrei7wqDV8CbATz0HPncAdfZbPxfOHdBD4PdbV5yOs/i8BTmB7n8dca947wCfWe3gaiA6w+idY/xRFwAtYZ4+NpPqt8Q+AWqATzxrf8pHw+fvoPQTK7+BrVo1FwFetaVFAgfV/vRv4LSc5w8eHdV8OHLC+O35oTXsAuNoaDrc+zyLr853QZ9kfWsvt5xTOhNQuMZRSSh1HdyUppZQ6jgaDUkqp42gwKKWUOo4Gg1JKqeNoMCillDqOBoNSSqnjaDAopZQ6zv8Hsc8IfF+DRFIAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "for theta in thetas_samples[np.random.randint(0,len(thetas_samples),20)]:\n",
    "    x,y = calculate_backbone_points(theta,1)\n",
    "    plt.plot(x,y)\n",
    "    plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
